4441141403201 has 48 divisors (see below), whose sum is σ = 5195113640640. Its totient is φ = 3772606464000.

The previous prime is 4441141403183. The next prime is 4441141403221. The reversal of 4441141403201 is 1023041411444.

It is a happy number.

It is not a de Polignac number, because 4441141403201 - 2¹⁴ = 4441141386817 is a prime.

It is a super-2 number, since 2×4441141403201² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4441141403221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42835841 + ... + 42939393.

It is an arithmetic number, because the mean of its divisors is an integer number (108231534180).

Almost surely, 2^{4441141403201} is an apocalyptic number.

It is an amenable number.

4441141403201 is a deficient number, since it is larger than the sum of its proper divisors (753972237439).

4441141403201 is a wasteful number, since it uses less digits than its factorization.

4441141403201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103886 (or 103863 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 4441141403201 its reverse (1023041411444), we get a palindrome (5464182814645).

The spelling of 4441141403201 in words is "four trillion, four hundred forty-one billion, one hundred forty-one million, four hundred three thousand, two hundred one".